The quake measuring 5.2 on the Richter scale struck at approximately 10.45, the official news agency reported, adding that the epicentre was in the southern Iranian province of Hormozgan.
A four-year-old girl died in the quake and two other people were injured, according to Mehdi Iran-Nejad, the governor of Qeshm.
In November, 10 people died and dozens were injured when a 5.9 magnitude-quake jolted Qeshm which is situated in the narrow Strait of Hormuz.